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Finding the Fourth Proportional to 8,202.28, 12,304.14 and 2,655.76

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Solution

The fourth proportional to 8,202.28, 12,304.14 and 2,655.76 is: 3,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.28 : 12,304.14 = 2,655.76 : x
  2. Step 2: Convert to fraction form
    8,202.28/12,304.14 = 2,655.76/x
  3. Step 3: Cross multiply
    8,202.28x = 12,304.14 × 2,655.76
  4. Step 4: Simplify right side
    8,202.28x = 32,676,842.85
  5. Step 5: Solve for x
    x = 32,676,842.85/8,202.28
  6. Step 6: Final answer
    x = 3,983.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.